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Fittoniya [83]
3 years ago
7

-q/7>-1 Help plz Step-by-step

Mathematics
1 answer:
alisha [4.7K]3 years ago
8 0

Answer:

q < 7

Step-by-step explanation:

Given:

\frac{-q}{7} > -1

Required:

Find the value of q.

First, multiply both sides by 7

7 * \frac{-q}{7} > -1 * 7

-q > -7

Then, multiply both sides by -1

q < 7

Note that the sign of the inequality changed.

When multiplying or dividing an inequality by a number less than 0 (in other words, a negative numbers), the sign of the inequality will change.

Hence, the solution to the expression above is

q < 7

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Answer:

( − 5 , 1 )

Step-by-step explanation:

Use the midpoint formula to find the midpoint of the line segment.

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3 years ago
Let z be the product of any 5 consecutive three digit odd natural numbers. When you multiply
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Answer:

  5

Step-by-step explanation:

If x is the middle number of the 5 consecutive odd numbers, their product is ...

  x(x -2)(x +2)(x -4)(x +4) = x(x² -4)(x² -16)  = x⁵ -20x³ +64x

The first 3-digit prime is 101, so the product of that with this is ...

  101(x⁵ -20x³ +64x) = 101x⁵ -2020x³ +6464x

Since we're only interested in the units digit, we can find the mod 10 value of this to be ...

  (x⁵ +4x) mod 10

Possible units digits of x are 1, 3, 5, 7, 9, so possible units digits of this product are ...

  x(x⁴ +4) = 1(1⁴ +4) = 5

  3(3⁴ +4) = 3(1 +4) = 5 . . . . mod 10

  5(5⁴ +4) = 5(5 +4) = 5 . . . . mod 10

  7(7⁴ +4) = 7(1 +4) = 5 . . . . mod 10

  9(9⁴ +4) = 9(1 +4) = 5 . . . . mod 10

In every case, the units digit of 101z will be 5.

4 0
2 years ago
in the morning , Emily studied 40 minutes for an exam. Later that evening, Emily studied for x more minutes. write an equation t
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Answer:

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The cost of gas bill including VAT is 379.26.

<h3>What is VAT?</h3>

Value-Added Tax (VAT) is a tax, which is payable on sales of goods or services within the territory of the Member States of the EU.

Given:

Cost of the gas before the VAT was added was £361.20.

VAT = 5%

Thus, cost of bill including VAT is

=361.20.*1.05

=379.26.

Learn more about VAT here:

brainly.com/question/20628016

#SPJ1

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